关键词: Approximation, almost period function, Picard method of successive ap-proximation

Abstract:

This paper is devoted to the study of approximation of the solution for the differential equation whose coefficients are almost period functions. To this end the authors establish the estimation of the solution of general linear differential equation for infinite interval case. For finite interval case, this equation was investigated by G. Tamarkin[1] applying the Picard method of successive approximation.

Key words: Approximation, almost period function, Picard method of successive ap-proximation